The average distance property of classical Banach spaces II
Aicke Hinrichs, J. Wenzel
Abstract
A Banach space X has the average distance property (ADP) if there exists a unique real number r such that for each positive integer n and all x1,...,xn in the unit sphere of X there is some x in the unit sphere of X such that 1/n Σk=1n ||xk-x|| = r. We show that lp does not have the average distance property if p>2. This completes the study of the ADP for lp spaces.
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